Topological Approximation Methods for Evolutionary Problems of Nonlinear Hydrodynamics (eBook)

Victor G. Zvyagin, Dmitry A. Vorotnikov (Autoren)

eBook Download: PDF

2008
242 Seiten
De Gruyter (Verlag)
978-3-11-020828-3 (ISBN)

Infos

The authors present functional analytical methods for solving a class of partial differential equations. The results have important applications to the numerical treatment of rheology (specific examples are the behaviour of blood or print colours) and to other applications in fluid mechanics.

• A class of methods for solving problems in hydrodynamics is presented.

Victor Zvyagin and Dmitry Vorotnikov , Voronezh State University, Russia.

Autor

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Victor Zvyagin and Dmitry Vorotnikov , Voronezh State University, Russia.

Inhalt

Frontmatter 1
Contents 9
Chapter 1. Non-Newtonian flows 13
Chapter 2. Basic function spaces. Embedding and compactness theorems 43
Chapter 3. Operator equations in Banach spaces 73
Chapter 4. Attractors of evolutionary equations in Banach spaces 89
Chapter 5. Strong solutions for equations of motion of viscoelastic medium 115
Chapter 6. Weak solutions for equations of motion of viscoelastic medium 153
Chapter 7. The regularized Jeffreys model 209
Backmatter 235

Rezensionen

lt;P>"This monograph provides a clearly written introduction to the basic issues and methods in evolution equations in the context of equations arising in viscoelasticity. It is suitable for graduate students who are new to both topics as well as to researchers from other areas who want a quick overview of the subject." Mathematical Reviews

Produkt-Details

• Erscheint lt. Verlag: 25.9.2008
• Reihe/Serie: De Gruyter Series in Nonlinear Analysis and Applications
• Reihe/Serie: De Gruyter Series in Nonlinear Analysis and Applications
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Halbgruppen • Hydrodynamics • Hydrodynamics, Nonlinear Analysis • Nonlinear analysis • Partielle Differentialgleichung
• ISBN-10: 3-11-020828-8 / 3110208288
• ISBN-13: 978-3-11-020828-3 / 9783110208283